Surfaces of Minimal Area Supported by a Given Body in ℝ3
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 4)
Existence theory in the “Plateau problem” is mostly concerned with surfaces spanning some given boundary configuration ([A], [Cou], [HiN], [GJ], [S], to quote a few).
KeywordsRiemannian Manifold Variational Inequality Minimal Surface Minimal Area Free Boundary Problem
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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- [Cou]Courant, R.: Dirichlet principle, conformal mappings and minimal surfaces, Interscience, New York, 1950.Google Scholar
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- [Hil1]Hildebrandt, S.: On the regularity of solutions of two-imensional variational problems with obstructions, Comm. Pure Appl. Math. 25, 479-496 (1972)Google Scholar
- [Hi2]Hildebrandt, S.: Boundary behaviour of minimal surfaces, Arc. Rat. Mech. Anal. 35, 47 – 82 (1969).Google Scholar
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